The reduced \(C^ *\)-algebra of the p-adic group GL(n)
The Lefschetz principle, according to Harish-Chandra, says that whatever is true for real reductive groups is also true for p-adic groups. In this article this principle is investigated in the particular instance of p- adic GL(n). The reduced \(C^*\)-algebra is Morita equivalent to an abelian \(C^*\)-algebra. A precise geometric description of the reduced dual is given. K-theory generators are essentially parametrized by two items of Langlands data.
reduced \(C^ *\)-algebra is Morita equivalent to an abelian \(C^ *\)-algebra
scientific article; zbMATH DE number 4015482